Finding the Third Proportional to 35,923.50 and 78,063.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,923.50 : 78,063.75 = 78,063.75 : x
2. Step 2: Convert to fraction form
   35,923.50/78,063.75 = 78,063.75/x
3. Step 3: Cross multiply
   35,923.50x = 78,063.75 × 78,063.75
4. Step 4: Simplify right side
   35,923.50x = 6,093,949,064.06
5. Step 5: Solve for x
   x = 6,093,949,064.06/35,923.50
6. Step 6: Final answer
   x = 169,636.84